%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ANA039-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:02:51 PM UTC 2026
% Result : Unsatisfiable 0.32s 0.61s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 34 ( 9 unt; 0 nHn; 26 RR)
% Number of literals : 75 ( 0 equ; 47 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 51 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
( ~ c_lessequals(X4,X2,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| c_lessequals(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_h(X1),t_a),c_times(v_c,c_HOL_Oabs(v_f(X1),t_a),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0,axiom,
( ~ c_lessequals(c_0,X4,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| c_lessequals(c_times(X2,X4,X1),c_times(X3,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).
cnf(clsrel_Ring__and__Field_Opordered__semiring_10,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(X1)
| class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Opordered__semiring_10) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(cls_OrderedGroup_Oabs__ge__self_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_lessequals(X2,c_HOL_Oabs(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__self_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_42,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__semiring(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_42) ).
cnf(c_0_10,plain,
( ~ c_lessequals(X4,X2,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| c_lessequals(X4,X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_Orderings_Oorder__class_Oorder__trans_0]) ).
cnf(c_0_11,plain,
( ~ c_lessequals(X4,X2,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| c_lessequals(X4,X3,X1) ),
c_0_10 ).
cnf(c_0_12,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_h(X1),t_a),c_times(v_c,c_HOL_Oabs(v_f(X1),t_a),t_a),t_a),
cls_conjecture_0 ).
cnf(c_0_13,plain,
( ~ c_lessequals(c_0,X4,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| c_lessequals(c_times(X2,X4,X1),c_times(X3,X4,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0]) ).
cnf(c_0_14,plain,
( ~ class_Ring__and__Field_Opordered__semiring(X1)
| class_Orderings_Oorder(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Opordered__semiring_10]) ).
cnf(c_0_15,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a),
inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).
cnf(c_0_16,negated_conjecture,
( ~ c_lessequals(c_times(v_c,c_HOL_Oabs(v_f(X1),t_a),t_a),X2,t_a)
| ~ class_Orderings_Oorder(t_a)
| c_lessequals(c_HOL_Oabs(v_h(X1),t_a),X2,t_a) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( ~ c_lessequals(c_0,X4,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| c_lessequals(c_times(X2,X4,X1),c_times(X3,X4,X1),X1) ),
c_0_13 ).
cnf(c_0_18,plain,
( ~ class_Ring__and__Field_Opordered__semiring(X1)
| class_Orderings_Oorder(X1) ),
c_0_14 ).
cnf(c_0_19,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a),
c_0_15 ).
cnf(c_0_20,negated_conjecture,
( ~ c_lessequals(v_c,X2,t_a)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_f(X1),t_a),t_a)
| ~ class_Ring__and__Field_Opordered__semiring(t_a)
| c_lessequals(c_HOL_Oabs(v_h(X1),t_a),c_times(X2,c_HOL_Oabs(v_f(X1),t_a),t_a),t_a) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_21,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oabs__ge__zero_0]) ).
cnf(c_0_22,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_lessequals(X2,c_HOL_Oabs(X2,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oabs__ge__self_0]) ).
cnf(c_0_23,negated_conjecture,
( ~ c_lessequals(v_c,c_HOL_Oabs(v_c,t_a),t_a)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x),t_a),t_a)
| ~ class_Ring__and__Field_Opordered__semiring(t_a) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1) ),
c_0_21 ).
cnf(c_0_25,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_lessequals(X2,c_HOL_Oabs(X2,X1),X1) ),
c_0_22 ).
cnf(c_0_26,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50]) ).
cnf(c_0_27,negated_conjecture,
( ~ class_Ring__and__Field_Opordered__semiring(t_a)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_28,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_26 ).
cnf(c_0_29,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_a),
tfree_tcs ).
cnf(c_0_30,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__semiring(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_42]) ).
cnf(c_0_31,negated_conjecture,
~ class_Ring__and__Field_Opordered__semiring(t_a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_32,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__semiring(X1) ),
c_0_30 ).
cnf(c_0_33,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA039-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n002.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 13:28:48 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/0.61 % Version: 3.5.1
% 0.32/0.61 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.32/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.32/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.32/0.61 % Starting new_bool_3 with 300s (1) cores
% 0.32/0.61 % Starting new_bool_1 with 300s (1) cores
% 0.32/0.61 % Starting sh5l with 300s (1) cores
% 0.32/0.61 % new_bool_3 with pid 3385786 completed with status 0
% 0.32/0.61 % Result found by new_bool_3
% 0.32/0.61 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.32/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.32/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.32/0.61 % Starting new_bool_3 with 300s (1) cores
% 0.32/0.61 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.32/0.61 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.32/0.61 % Search class: FGHSM-FSLM31-MFFFFFNN
% 0.32/0.61 % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.32/0.61 % Starting SubtermCWHack with 28s (1) cores
% 0.32/0.61 % SubtermCWHack with pid 3385794 completed with status 0
% 0.32/0.61 % Result found by SubtermCWHack
% 0.32/0.61 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.32/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.32/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.32/0.61 % Starting new_bool_3 with 300s (1) cores
% 0.32/0.61 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.32/0.61 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.32/0.61 % Search class: FGHSM-FSLM31-MFFFFFNN
% 0.32/0.61 % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.32/0.61 % Starting SubtermCWHack with 28s (1) cores
% 0.32/0.61 % Preprocessing time : 0.006 s
% 0.32/0.61
% 0.32/0.61 % Proof found!
% 0.32/0.61 % SZS status Unsatisfiable
% 0.32/0.61 % SZS output start CNFRefutation
% See solution above
% 0.32/0.61 % Parsed axioms : 1418
% 0.32/0.61 % Removed by relevancy pruning/SinE : 586
% 0.32/0.61 % Initial clauses : 832
% 0.32/0.61 % Removed in clause preprocessing : 0
% 0.32/0.61 % Initial clauses in saturation : 832
% 0.32/0.61 % Processed clauses : 2698
% 0.32/0.61 % ...of these trivial : 1
% 0.32/0.61 % ...subsumed : 1749
% 0.32/0.61 % ...remaining for further processing : 948
% 0.32/0.61 % Other redundant clauses eliminated : 0
% 0.32/0.61 % Clauses deleted for lack of memory : 0
% 0.32/0.61 % Backward-subsumed : 13
% 0.32/0.61 % Backward-rewritten : 3
% 0.32/0.61 % Generated clauses : 2604
% 0.32/0.61 % ...of the previous two non-redundant : 2089
% 0.32/0.61 % ...aggressively subsumed : 0
% 0.32/0.61 % Contextual simplify-reflections : 13
% 0.32/0.61 % Paramodulations : 2601
% 0.32/0.61 % Factorizations : 0
% 0.32/0.61 % NegExts : 0
% 0.32/0.61 % Equation resolutions : 3
% 0.32/0.61 % Disequality decompositions : 0
% 0.32/0.61 % Total rewrite steps : 692
% 0.32/0.61 % ...of those cached : 614
% 0.32/0.61 % Propositional unsat checks : 0
% 0.32/0.61 % Propositional check models : 0
% 0.32/0.61 % Propositional check unsatisfiable : 0
% 0.32/0.61 % Propositional clauses : 0
% 0.32/0.61 % Propositional clauses after purity: 0
% 0.32/0.61 % Propositional unsat core size : 0
% 0.32/0.61 % Propositional preprocessing time : 0.000
% 0.32/0.61 % Propositional encoding time : 0.000
% 0.32/0.61 % Propositional solver time : 0.000
% 0.32/0.61 % Success case prop preproc time : 0.000
% 0.32/0.61 % Success case prop encoding time : 0.000
% 0.32/0.61 % Success case prop solver time : 0.000
% 0.32/0.61 % Current number of processed clauses : 932
% 0.32/0.61 % Positive orientable unit clauses : 92
% 0.32/0.61 % Positive unorientable unit clauses: 0
% 0.32/0.61 % Negative unit clauses : 7
% 0.32/0.61 % Non-unit-clauses : 833
% 0.32/0.61 % Current number of unprocessed clauses: 194
% 0.32/0.61 % ...number of literals in the above : 700
% 0.32/0.61 % Current number of archived formulas : 0
% 0.32/0.61 % Current number of archived clauses : 16
% 0.32/0.61 % Clause-clause subsumption calls (NU) : 584931
% 0.32/0.61 % Rec. Clause-clause subsumption calls : 565231
% 0.32/0.61 % Non-unit clause-clause subsumptions : 1770
% 0.32/0.61 % Unit Clause-clause subsumption calls : 134
% 0.32/0.61 % Rewrite failures with RHS unbound : 0
% 0.32/0.61 % BW rewrite match attempts : 16
% 0.32/0.61 % BW rewrite match successes : 3
% 0.32/0.61 % Condensation attempts : 0
% 0.32/0.61 % Condensation successes : 0
% 0.32/0.61 % Termbank termtop insertions : 44037
% 0.32/0.61 % Search garbage collected termcells : 2528
% 0.32/0.61
% 0.32/0.61 % -------------------------------------------------
% 0.32/0.61 % User time : 0.154 s
% 0.32/0.61 % System time : 0.009 s
% 0.32/0.61 % Total time : 0.163 s
% 0.32/0.61 % Maximum resident set size: 5420 pages
% 0.32/0.61
% 0.32/0.61 % -------------------------------------------------
% 0.32/0.61 % User time : 0.174 s
% 0.32/0.61 % System time : 0.016 s
% 0.32/0.61 % Total time : 0.191 s
% 0.32/0.61 % Maximum resident set size: 5632 pages
% 0.32/0.61 % E exiting
%------------------------------------------------------------------------------